Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph
type: Item
instance of: scholarly article
title: Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph
zbMATH Open document ID: 1465.34010
author: Vaibhav Mehandiratta
author: Mani Mehra
author: Günter Leugering
published in: Networks and Heterogeneous Media
publication date: 2021-07-14T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7371604
zbMATH Keywords: fractional boundary value problem
zbMATH Keywords: fixed point theorems
zbMATH Keywords: Ulam-type stability
zbMATH Keywords: metric graph
MaRDI profile type: Publication
full work available at URL: nhm.2021003
OpenAlex ID: W3121323515
cites work: Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations
cites work: On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations
cites work: Modeling some real phenomena by fractional differential equations
cites work: Some existence results on nonlinear fractional differential equations
cites work: Sturm-Liouville eigenvalue problems on networks
cites work: Q4486983
cites work: On the location of spectral edges in \mathbb {Z}-periodic media
cites work: Fractional Langevin equation with anti-periodic boundary conditions
cites work: Existence of a positive solution to a class of fractional differential equations
cites work: Q3589317
cites work: Existence and uniqueness of solutions for a fractional boundary value problem on a graph
cites work: Q4421936
cites work: Applications of fractional calculus in physics
cites work: Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
cites work: Analysis of positive solution and Hyers‐Ulam stability for a class of singular fractional differential equations with p‐Laplacian in Banach space
cites work: Q5699297
cites work: Numerical study of fractional nonlinear Schrödinger equations
cites work: Quantum graphs: an introduction and a brief survey
cites work: Differential operators on graphs and photonic crystals
cites work: Control of Planar Networks of Timoshenko Beams
cites work: Q3878058
cites work: Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus
cites work: Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative
cites work: First integral method for non-linear differential equations with conformable derivative
cites work: A difference scheme for the time-fractional diffusion equation on a metric star graph
cites work: Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph
cites work: Fractional optimal control problems on a star graph: optimality system and numerical solution
cites work: Solutions of differential-difference equations arising from mathematical models of granulocytopoiesis
cites work: Optimal control of a fractional Sturm–Liouville problem on a star graph
cites work: Q3712710
cites work: Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients
cites work: Differential equations on networks. Transl. from the Russan
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star‐shaped connected graph
cites work: Boundary value problem for a coupled system of nonlinear fractional differential equations
cites work: Q3259049
cites work: Q5414406
cites work: Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem
cites work: The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator
cites work: Existence and Ulam's type stability results for a class of fractional boundary value problems on a star graph
DOI: 10.3934/NHM.2021003
description: scientific article; zbMATH DE number 7371604